Numerical Study of Fisher’s Equation by Finite Difference Schemes

• 作者: Bader Saad Alshammari Daoud Suleiman Mashat
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: FORWARD in Time and CENTRE in Space (FTCS) Taylor’s Series CRANK Nicolson DOUGLAS Scheme
• 年，卷（期）: 2017,（8）
• 页码范围: 1100-1116
• 页数: 17页
• 分类号: O1

摘要

This research paper represents a numerical approximation to three interesting equations of Fisher, which are linear, non-linear and coupled linear one dimensional reaction diffusion equations from population genetics. We studied accuracy in term of L∞ error norm by random selected grids along time levels for comparison with exact results. The test example demonstrates the accuracy, efficiency and versatility of the proposed schemes. It is shown that the numerical schemes give better solutions. Moreover, the schemes can be easily applied to a wide class of higher dimension non-linear reaction diffusion equations.